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Finding the Third Proportional to 33,863.06 and 73,083.94

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Solution

The third proportional to 33,863.06 and 73,083.94 is: 157,731.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,863.06 : 73,083.94 = 73,083.94 : x
  2. Step 2: Convert to fraction form
    33,863.06/73,083.94 = 73,083.94/x
  3. Step 3: Cross multiply
    33,863.06x = 73,083.94 × 73,083.94
  4. Step 4: Simplify right side
    33,863.06x = 5,341,261,920.50
  5. Step 5: Solve for x
    x = 5,341,261,920.50/33,863.06
  6. Step 6: Final answer
    x = 157,731.21

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.